# ISEE Middle Level Math : Numbers and Operations

## Example Questions

### Example Question #249 : Percentage

What is  of  ?

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So, given the problem

of

we can re-write it as

Now, to multiply, we will write both numbers as fractions.  So, to write  as a fraction, we know percentages can be written as fractions over 100.  So, we get

Now, to write  as a fraction, we know whole numbers can be written as fractions over 1.  So, we get

Now, before we multiply, we will simplify to make things easier.  The zero in  can cancel a zero in . So, we get

Now, the zero in  can cancel the zero in .  So, we get

Now, we can multiply straight across.  We get

Therefore,   of  is .

### Example Question #250 : Percentage

What is  of  ?

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.  So, in the problem

of

we can write

Now, we will write  as a fraction.  We know that percentages can be written as fractions over 100.  So, we get

Now, we will write  as a fraction.  We know that whole numbers can be written as fractions over 1.  So, we get

Now, before we multiply, we will simplify to make things easier.  The zero in 10 can cancel a zero in 100.  So, we get

The zero in 10 can cancel the zero in 90.  So, we get

Now, we can multiply straight across.  We get

Therefore,  of  is .

### Example Question #251 : Percentage

Find  of .

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.  So, in the problem

of

we can re-write it like this

Now, to multiply, we will first write  as a fraction.  We know that percentages can be written as fractions over 100.  So, we can write

Now, we will write  as a fraction.  We know that whole numbers can be written as fractions over 1.  So, we get

Now, we can simplify before we multiply to make things easier.  The zeros in 100 can cancel the zeros in 200.  So, we get

Now, we can multiply straight across.  We get

Therefore,   of  is .

### Example Question #252 : Percentage

What is  of  ?

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So,

of

can be written as

Now, we will write  as a fraction.  We know that percentages can be written as fractions over 100.  So, we get

Now, we will write  as a fraction.  We know that whole numbers can be written as fractions over 1.  So, we get

Now, we will simplify before we multiply to make things easier.  The zero in 70 can cancel a zero in 100.  So, we get

Now, the zero in 10 can cancel the zero in 150.  So, we get

Now, we can multiply straight across.  We get

Therefore,  of  is .

### Example Question #253 : Percentage

What is  of  ?

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So, in the problem

of

we can re-write it as

Now, to multiply, we will write 25% as a fraction.  We know percentages can be written as fractions over 100.  So, we get

Now, we will write 300 as a fraction.  We know whole numbers can be written as fractions over 1.  So, we get

Now, before we multiply, we can simplify to make things easier.  The zeros in 100 can cancel the zeros in 300.  So, we get

Now, we can multiply straight across.  We get

Therefore,   of  is .

### Example Question #254 : Percentage

What is  of  ?

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.  So,

of

can be written as

Now, to multiply, we will write  as a fraction. We know that percentages can be written as fractions over 100.  So,

Now, we will write  as a fraction.  We know that whole numbers can be written as fractions over 1.  So,

Now, before we multiply, we will simplify to make things easier.  The zeros in 100 can cancel the zeros in 400.  So,

Now, we can multiply straight across.  We get

Therefore,  of  is .

### Example Question #255 : Percentage

What is  of  ?

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So, given the problem

of

We can re-write it as

Now, we will write 80% as a fraction.  We know that percentages can be written as fractions over 100.  So, we get

Now, we will write 250 as a fraction.  We know that whole numbers can be written as fractions over 1.  So, we get

Now, we will simplify before we multiply to make things easier.  The zero in 80 can cancel a zero in 100.  So, we get

The zero in 10 can cancel the zero in 250.  We get

Now, we can multiply straight across.  We get

Therefore,  of  is .

### Example Question #256 : Percentage

What is  of  ?

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.  We get

Therefore,   of  is .

### Example Question #257 : Percentage

Find  of .

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.  We get

The zeros can cancel.  We get

### Example Question #258 : Percentage

What is  of  ?

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number.

So, we get

The zeros can cancel out.  We get

Therefore,  of  is .